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MATH / My clock chimes two times 15 minutes after the hour, four times 30 minutes after…

Problem

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problem

My clock chimes two times 15 minutes after the hour, four times 30 minutes after the hour and six times 45 minutes after the hour. The clock also chimes eight times on each hour in addition to chiming the number of times equal to the hour. (So at 2:00 p.m., the clock chimes 8+2=108 + 2 = 10 times.) Starting at 12:05 a.m., how many times does the clock chime in a 24-hour period?
Plain-text mathematical notation (without MathML)
My clock chimes two times 15 minutes after the hour, four times 30 minutes after the hour and six times 45 minutes after the hour. The clock also chimes eight times on each hour in addition to chiming the number of times equal to the hour. (So at 2:00 p.m., the clock chimes 8+2=10 times.) Starting at 12:05 a.m., how many times does the clock chime in a 24-hour period?
Original LaTeX notation
My clock chimes two times 15 minutes after the hour, four times 30 minutes after the hour and six times 45 minutes after the hour. The clock also chimes eight times on each hour in addition to chiming the number of times equal to the hour. (So at 2:00 p.m., the clock chimes $8 + 2 = 10$ times.) Starting at 12:05 a.m., how many times does the clock chime in a 24-hour period?

level

Level 5

type

Prealgebra

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Source and history

task_id
a9569727-1435-52db-8de9-7d28250e42a4
task_key
prealgebra--test--a9569727-1435-52db-8de9-7d28250e42a4
task_revision_id
1
config / split
prealgebra / test

Official source

initial import